This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
here's how to calculate the number of boys who have school dinners: Step 1: Calculate the total number of students who have school dinners. There are 1600 students, and 62% have school dinners. Students with school dinners = 0.62 × 1600 = 992 Step 2: Calculate the total number of girls. 55% of the students are girls. Number of girls = 0.55 × 1600 = 880 Step 3: Calculate the number of girls who have packed lunches. 45% of the girls have packed lunches. Girls with packed lunches = 0.45 × 880 = 396 Step 4: Calculate the number of girls who have school dinners. Since each student has either a packed lunch or a school dinner, the remaining girls must have school dinners. Girls with school dinners = Total girls - Girls with packed lunches Girls with school dinners = 880 - 396 = 484 Step 5: Calculate the number of boys who have school dinners. The total number of students with school dinners is 992 (from Step 1). If 484 of these are girls, the rest must be boys. Boys with school dinners = Total students with school dinners - Girls with school dinners Boys with school dinners = 992 - 484 = 508 There are 508 boys who have school dinners. The final answer is 508. Drop the next question!